Numerical Analysis of Flow and Mass Transfer in the Renal Glomeruli Capillary Network

Since Glomerular filtration of blood in the kidney has been regarded by physiologists for many years، they can access only to the qualitative data. Mathematicians can solve this problem by numerical modeling. In this research، an engineering model is presented for the analysis of this capillary network by investigating in the different scientific fields such as، physiology، medicine، computer science and mathematics. First of all، the homogeneous model introduced by Deen، are studied. The rate of the blood filtration is achieved by solving the 2-D equations of momentum and mass transfer. Then the anatomic investigation of the glomerular are performed to present a three-dimensional network of the glomerular capillaries. This proposed model is solved numerically by Use of the 3-D equations of momentum and mass transfer. This analysis makes it possible to study the various parameters are creating by diseases and this is the main advantage of this provided mode. In network model connection between lobules and their shapes just improve flow distribution and mass transfer. Otherwise the glomerular filtration rate in the flow rate of more than 150 nl/min is evaluated more accurately in this model.